We have constructed a chiral-symmetry model in which the vector mesons (which are not introduced by means of the Yang-Mills technique) are described in terms of an antisymmetric second-rank tensor ${T}_{\ensuremath{\mu}\ensuremath{\nu}}$. As a result, the interaction Hamiltonian in the interaction representation contains additional contact-type terms. Besides the pseudoscalar and vector-meson nonets, the model contains two nonets with ${J}^{\mathrm{PC}}={0}^{\ensuremath{-}\ensuremath{-}} \mathrm{and} {1}^{\ensuremath{-}+}$. Their fields appear in even numbers in all terms in the expansion of our Lagrangians. A mass Lagrangian is introduced such that the mesons get their physical masses. This gives generalized partially conserved axial-vector current if higher-order contributions are neglected. A $U{(3)}_{\mathrm{left}}\ensuremath{\bigotimes}U{(3)}_{\mathrm{right}}$-invariant Lagrangian is found which gives the well-known $\mathrm{PPV}$ coupling and also a $\mathrm{PVV}$ coupling. A nonet of baryons is introduced, with the ${{Y}_{0}}^{*}(1405)$ as ninth baryon. Several chiral-invariant meson-baryon Lagrangians are considered, such that the nonderivative and derivative couplings of the pseudoscalar mesons to baryons, and the vector and tensor couplings of the vector mesons to baryons, are obtained. Also, two symmetry-breaking meson-baryon Lagrangians are needed to give the baryons their physical masses. The coupling constant of the tensor coupling of the $\ensuremath{\rho}$ mesons to nucleons is correctly predicted. The width of the ${{Y}_{0}}^{*}(1405)$ and the ratio $\frac{|{G}_{\mathrm{NKY}}|}{|{G}_{\ensuremath{\Sigma}\ensuremath{\pi}Y}|}$ are predicted to be 62 MeV and 2, respectively, which are close to the experimental values. The decay widths $\ensuremath{\Gamma}[{\ensuremath{\eta}}^{\ensuremath{'}}(958)\ensuremath{\rightarrow}\ensuremath{\eta}+2\ensuremath{\pi}]$, $\ensuremath{\Gamma}({K}^{*}\ensuremath{\rightarrow}K\ensuremath{\pi})$, and $\ensuremath{\Gamma}(\ensuremath{\phi}\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}})$ are in reasonable agreement with experiment.